流体力学: オープンアクセス

In this paper, two numerical methods for solving fractional integro-differential equations are proposed. The fractional derivative is considered in the Caputo sense. The proposed methods are least squares method aid of Bernstein polynomials function as the basis. The proposed method reduces this type of equation into systems to the solution of system of linear algebraic equations. To demonstrate the accuracy and applicability of the presented methods some test examples are provided. Numerical results show that this approach is easy to implement and accurate when applied to fractional integro-differential equations. We show that the method is effective and has high convergenc rate.

The objective of this paper inferred that the reported results and discussion about photocatalytic and antimicrobial properties of the doped oxide materials by using hydrothermal method. Usually semiconducting oxide materials are TiO2, CeO2, SnO2, ZnO, AgO and ITO are called as transparent conducting oxide materials (TCO). The synthesis of high quality ZnO doped TiO2 material was analysed by many researchers by using X-ray diffraction (XRD) and confirms that crystal structure of doped composition showed hexagonal Wurtzite Structure of ZnO with lattice constants a=b=3.249 Ắ and c=5.219 Ắ. The applications and properties of these materials were useful to the researchers to enhance the materials properties when they have doped with one another or with polymer and metallic materials. The properties of oxide materials such as structural, morphological, optical and electrical properties were analysed. Semiconducting oxide materials have significant physical and chemical properties which are often, sharply improved by combining them in different proportions for making their alloys (or) compounds. Due to their expanding utility of both amorphous and polycrystalline semiconductor oxide materials, has attracted much interest in electronics and optoelectronics devices. The techniques involved for semiconducting oxide materials are synthesized by Electron beam evaporation, Molecular beam epitaxy and chemical process. Many researchers reported about the properties, preparation and applications of doped oxide materials. The properties of these materials play an important role in electronic and optoelectronic devices. This work gives an account detailed about the oxide materials in this evergreen topic of energy conversion research.

In this note, we point out and rectify an error in a recently published paper “PP Murthy, Rashmi, VN Mishra, Tripled Coincidence Point Theorem For Compatible Maps In Fuzzy Metric Spaces, Electronic Journal of Mathematical Analysis and Applications, Vol. 4(2) July 2016, pp. 96-106”.

Advantages such as environmental friendly material, low cost and high regeneration percentage of sludge-based adsorbents like Paper Mill Sludge carbon (PMSC) and Activated Paper Mill Sludge Carbon (APMSC) make them as suitable adsorbents for the removal of toxic metals such as Cr(VI) and Ni(II) ions from water and wastewater. These mesoporous carbons namely PMSC and APMSC were most effective in adsorption of cationic pollutants than anionic pollutants. Isotherms data indicated that these activated carbons have high adsorption capacity. The dimensionless factor, RL of the adsorption isotherms revealed that the adsorption process for both ions on both adsorbents was very favorable. The results suggest the feasibility of a good substitute than other commercially available activated carbons produced from natural resources. So, the reuse of organic wastes from any industrial process is a high priority today. Adsorption of Ni (II) ions and Cr (VI) ions using PMSC and APMSC was more effective at pH 5 and pH 2, respectively. Various isotherm, kinetic models and Activation parameters were fitted with experimental data to describe the behavior of diffusion mechanism, solute interaction and nature of adsorption with the adsorbents through batch studies. The best isotherm in these studies was selected by error analysis and the stability of adsorbents was also confirmed through desorption studies.